TSTP Solution File: KRS079+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS079+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:24:43 EDT 2024
% Result : Unsatisfiable 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 16 unt; 0 def)
% Number of atoms : 131 ( 12 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 141 ( 56 ~; 50 |; 27 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 74 ( 65 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf2(X,Y)
& cp2(Y) )
& ? [Y] :
( rf1(X,Y)
& cp1(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] :
( cp1(X)
=> ~ cp2(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf1(X,Y0)
& rf1(X,Y1) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf2(X,Y0)
& rf2(X,Y1) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
cUnsatisfiable(i2003_11_14_17_19_17492),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y] :
( rr(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] :
( rr(X,Y)
=> rf2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,plain,
( ! [X] : cowlThing(X)
& ! [X] : ~ cowlNothing(X) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f63,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f69,plain,
! [X] :
( ( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rf2(X,Y)
& cp2(Y) )
& ? [Y] :
( rf1(X,Y)
& cp1(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) ) ) )
& ( cUnsatisfiable(X)
| ! [Y] :
( ~ rf2(X,Y)
| ~ cp2(Y) )
| ! [Y] :
( ~ rf1(X,Y)
| ~ cp1(Y) )
| ! [Y] :
( ~ rr(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f16]) ).
fof(f70,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( ? [Y] :
( rf2(X,Y)
& cp2(Y) )
& ? [Y] :
( rf1(X,Y)
& cp1(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) ) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rf2(X,Y)
| ~ cp2(Y) )
| ! [Y] :
( ~ rf1(X,Y)
| ~ cp1(Y) )
| ! [Y] :
( ~ rr(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(miniscoping,[status(esa)],[f69]) ).
fof(f71,plain,
( ! [X] :
( ~ cUnsatisfiable(X)
| ( rf2(X,sk0_0(X))
& cp2(sk0_0(X))
& rf1(X,sk0_1(X))
& cp1(sk0_1(X))
& rr(X,sk0_2(X))
& cowlThing(sk0_2(X)) ) )
& ! [X] :
( cUnsatisfiable(X)
| ! [Y] :
( ~ rf2(X,Y)
| ~ cp2(Y) )
| ! [Y] :
( ~ rf1(X,Y)
| ~ cp1(Y) )
| ! [Y] :
( ~ rr(X,Y)
| ~ cowlThing(Y) ) ) ),
inference(skolemization,[status(esa)],[f70]) ).
fof(f72,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf2(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f73,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp2(sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f74,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf1(X0,sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f75,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f76,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sk0_2(X0)) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f79,plain,
! [X] :
( ~ cp1(X)
| ~ cp2(X) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f80,plain,
! [X0] :
( ~ cp1(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f81,plain,
! [X] :
( ~ cowlThing(X)
| ! [Y0,Y1] :
( ~ rf1(X,Y0)
| ~ rf1(X,Y1)
| Y0 = Y1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ cowlThing(X0)
| ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f83,plain,
! [X] :
( ~ cowlThing(X)
| ! [Y0,Y1] :
( ~ rf2(X,Y0)
| ~ rf2(X,Y1)
| Y0 = Y1 ) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ cowlThing(X0)
| ~ rf2(X0,X1)
| ~ rf2(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f85,plain,
cUnsatisfiable(i2003_11_14_17_19_17492),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f86,plain,
! [X,Y] :
( ~ rr(X,Y)
| rf1(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f87,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f86]) ).
fof(f88,plain,
! [X,Y] :
( ~ rr(X,Y)
| rf2(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f89,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f88]) ).
fof(f90,plain,
rf2(i2003_11_14_17_19_17492,sk0_0(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f72,f85]) ).
fof(f91,plain,
cp2(sk0_0(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f73,f85]) ).
fof(f92,plain,
~ cp1(sk0_0(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f91,f80]) ).
fof(f93,plain,
cp1(sk0_1(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f75,f85]) ).
fof(f94,plain,
rf1(i2003_11_14_17_19_17492,sk0_1(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f74,f85]) ).
fof(f95,plain,
rr(i2003_11_14_17_19_17492,sk0_2(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f76,f85]) ).
fof(f96,plain,
rf2(i2003_11_14_17_19_17492,sk0_2(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f95,f89]) ).
fof(f97,plain,
rf1(i2003_11_14_17_19_17492,sk0_2(i2003_11_14_17_19_17492)),
inference(resolution,[status(thm)],[f95,f87]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f63]) ).
fof(f99,plain,
! [X0] :
( ~ rf1(i2003_11_14_17_19_17492,X0)
| sk0_2(i2003_11_14_17_19_17492) = X0 ),
inference(resolution,[status(thm)],[f98,f97]) ).
fof(f101,plain,
sk0_2(i2003_11_14_17_19_17492) = sk0_1(i2003_11_14_17_19_17492),
inference(resolution,[status(thm)],[f99,f94]) ).
fof(f104,plain,
rf2(i2003_11_14_17_19_17492,sk0_1(i2003_11_14_17_19_17492)),
inference(backward_demodulation,[status(thm)],[f101,f96]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ~ rf2(X0,X1)
| ~ rf2(X0,X2)
| X1 = X2 ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f63]) ).
fof(f109,plain,
! [X0] :
( ~ rf2(i2003_11_14_17_19_17492,X0)
| sk0_1(i2003_11_14_17_19_17492) = X0 ),
inference(resolution,[status(thm)],[f108,f104]) ).
fof(f111,plain,
sk0_1(i2003_11_14_17_19_17492) = sk0_0(i2003_11_14_17_19_17492),
inference(resolution,[status(thm)],[f109,f90]) ).
fof(f118,plain,
cp1(sk0_0(i2003_11_14_17_19_17492)),
inference(backward_demodulation,[status(thm)],[f111,f93]) ).
fof(f119,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f118,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KRS079+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:46:50 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.20/0.37 % Drodi V3.6.0
% 0.20/0.37 % Refutation found
% 0.20/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.38 % Elapsed time: 0.015516 seconds
% 0.20/0.38 % CPU time: 0.024618 seconds
% 0.20/0.38 % Total memory used: 698.352 KB
% 0.20/0.38 % Net memory used: 635.152 KB
%------------------------------------------------------------------------------